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Finding the Fourth Proportional to 448,172.46, 672,256.26 and 258,509.88

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Solution

The fourth proportional to 448,172.46, 672,256.26 and 258,509.88 is: 387,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,172.46 : 672,256.26 = 258,509.88 : x
  2. Step 2: Convert to fraction form
    448,172.46/672,256.26 = 258,509.88/x
  3. Step 3: Cross multiply
    448,172.46x = 672,256.26 × 258,509.88
  4. Step 4: Simplify right side
    448,172.46x = 173,784,885,101.85
  5. Step 5: Solve for x
    x = 173,784,885,101.85/448,172.46
  6. Step 6: Final answer
    x = 387,763.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.